Pith Number

pith:HDFRVFJI

pith:2011:HDFRVFJIZJCKVCEVYWVSJCFJCO

not attested not anchored not stored refs pending

Algebraic boundaries of Hilbert's SOS cones

Bernd Sturmfels, Grigoriy Blekherman, John Christian Ottem, Jonathan Hauenstein, Kristian Ranestad

arxiv:1107.1846 v1 · 2011-07-10 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HDFRVFJIZJCKVCEVYWVSJCFJCO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:53:36.542680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38cb1a9528ca44aa8895c5ab2488a9138317706578ec7a78507dd9f4acd342f0

Aliases

arxiv: 1107.1846 · arxiv_version: 1107.1846v1 · doi: 10.48550/arxiv.1107.1846 · pith_short_12: HDFRVFJIZJCK · pith_short_16: HDFRVFJIZJCKVCEV · pith_short_8: HDFRVFJI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HDFRVFJIZJCKVCEVYWVSJCFJCO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 38cb1a9528ca44aa8895c5ab2488a9138317706578ec7a78507dd9f4acd342f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a7a897e20ce67defec3618c7f5a13334b5babefcabffd6ceed0aee455cb05b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-10T09:32:24Z",
    "title_canon_sha256": "a26bc3e55c34ed6a8366e3676c92809019d83d9997f2730fc2249eba6ae7e012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1846",
    "kind": "arxiv",
    "version": 1
  }
}